Quantum mechanics

Course description

Kvantna mehanika is a required course for third-year undergraduates in the FMF physics program. These notes are from the winter semester of the 2020-21 academic year, when the course was taught by professor Anton Ramšak (lecture) and asst. professor Tomaž Rejec (exercises). The course covers the Copenhagen interpretation of quantum mechanics at an upper-undergraduate level; specific material includes:

  • properties of the Schrödinger equation and wave function for a single particle
  • the Dirac formalism; operators and bra-ket notation
  • the quantum harmonic oscillator
  • symmetries: translation, rotation, parity and time reversal
  • properties, eigenvalues, and eigenfunctions of the angular momentum operator
  • behavior of quantum particles in a central potential; the Coulomb potential and the hydrogen atom
  • behavior of charged particles in a magnetic field: Zeeman coupling, Landau levels, and the Aharonov-Bohm effect
  • spin and addition of angular momentum; spinors; the Pauli matrices
  • perturbation theory: the first- and second-order nondegenerate case; the first-order degenerate case; time-dependent perturbation theory and Fermi’s golden rule
  • scattering